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Finding the Fourth Proportional to 4,548.41, 6,288.08 and 4,506.89

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Solution

The fourth proportional to 4,548.41, 6,288.08 and 4,506.89 is: 6,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.41 : 6,288.08 = 4,506.89 : x
  2. Step 2: Convert to fraction form
    4,548.41/6,288.08 = 4,506.89/x
  3. Step 3: Cross multiply
    4,548.41x = 6,288.08 × 4,506.89
  4. Step 4: Simplify right side
    4,548.41x = 28,339,684.87
  5. Step 5: Solve for x
    x = 28,339,684.87/4,548.41
  6. Step 6: Final answer
    x = 6,230.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.